Question

If k, (2k - 1) and (2k + 1) are the three successive terms of an AP, find the value of k.

Answer 1

It is given that k,(2k -1)and (2k +1) are the three successive terms of an AP.

∴ (2k-1) - k= (2k+1) - (2k-1) 

⇒ k - 1 =2

⇒ k = 3

Hence, the value of k is 3.